Estimate area from spectrogram

I generated a spectrogram of a signal and now I want to estimate the area of a certain region selected on the spectrogram.

Firstly, how can I obtain the Z component of the area selected using the function 'getline'?

Secondly, how can I calculate the area of the region selected? Should I use the function 'trapz'?

Thank you,

Carola

Answer 1

[Star Strider]

When I last looked, the spectrogram plot is actually a surf plot viewed from the top.

All the information is available in the spectrogram plot. You need to request it in order to plot it separately —

t = linspace(0,10,500);
Fs = 1/(t(2)-t(1));
s = sum(sin(2*pi*[1; 10; 20]*t));

figure
spectrogram(s,[],[],2^16,Fs,'yaxis')
colormap(turbo)

figure
[s,w,t] = spectrogram(s,[],[],2^16,Fs,'yaxis')

s = 
  -0.1496 + 0.0000i  -0.2058 + 0.0000i  -0.2688 + 0.0000i  -0.0896 + 0.0000i   0.0432 + 0.0000i   0.4554 + 0.0000i   0.2580 + 0.0000i
  -0.1495 + 0.0010i  -0.2058 + 0.0010i  -0.2688 + 0.0012i  -0.0896 + 0.0007i   0.0432 + 0.0006i   0.4554 - 0.0020i   0.2580 - 0.0019i
  -0.1495 + 0.0019i  -0.2058 + 0.0020i  -0.2687 + 0.0024i  -0.0895 + 0.0014i   0.0432 + 0.0011i   0.4553 - 0.0039i   0.2579 - 0.0038i
  -0.1494 + 0.0029i  -0.2057 + 0.0031i  -0.2686 + 0.0035i  -0.0895 + 0.0021i   0.0432 + 0.0017i   0.4552 - 0.0059i   0.2578 - 0.0057i
  -0.1494 + 0.0038i  -0.2056 + 0.0041i  -0.2685 + 0.0047i  -0.0895 + 0.0028i   0.0432 + 0.0023i   0.4550 - 0.0079i   0.2577 - 0.0076i
  -0.1492 + 0.0048i  -0.2054 + 0.0051i  -0.2684 + 0.0059i  -0.0894 + 0.0035i   0.0431 + 0.0029i   0.4548 - 0.0098i   0.2575 - 0.0095i
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  -0.1350 + 0.0294i  -0.1850 + 0.0319i  -0.2490 + 0.0394i  -0.0818 + 0.0254i   0.0393 + 0.0228i   0.4286 - 0.0642i   0.2331 - 0.0637i
  -0.1342 + 0.0300i  -0.1838 + 0.0326i  -0.2479 + 0.0404i  -0.0814 + 0.0262i   0.0391 + 0.0236i   0.4270 - 0.0657i   0.2316 - 0.0654i
  -0.1334 + 0.0306i  -0.1826 + 0.0332i  -0.2467 + 0.0414i  -0.0809 + 0.0270i   0.0389 + 0.0244i   0.4255 - 0.0673i   0.2301 - 0.0670i
  -0.1325 + 0.0312i  -0.1813 + 0.0339i  -0.2455 + 0.0424i  -0.0804 + 0.0278i   0.0387 + 0.0253i   0.4239 - 0.0688i   0.2286 - 0.0686i
  -0.1316 + 0.0317i  -0.1800 + 0.0345i  -0.2442 + 0.0433i  -0.0799 + 0.0286i   0.0385 + 0.0261i   0.4222 - 0.0702i   0.2271 - 0.0702i
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  -0.1220 + 0.0358i  -0.1656 + 0.0395i  -0.2300 + 0.0524i  -0.0739 + 0.0368i   0.0363 + 0.0356i   0.4036 - 0.0836i   0.2093 - 0.0855i
  -0.1209 + 0.0360i  -0.1640 + 0.0399i  -0.2284 + 0.0533i  -0.0732 + 0.0377i   0.0361 + 0.0366i   0.4015 - 0.0847i   0.2073 - 0.0869i
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  -0.1072 + 0.0370i  -0.1426 + 0.0422i  -0.2068 + 0.0622i  -0.0633 + 0.0484i   0.0336 + 0.0507i   0.3741 - 0.0961i   0.1804 - 0.1023i
  -0.1060 + 0.0369i  -0.1407 + 0.0421i  -0.2048 + 0.0628i  -0.0624 + 0.0494i   0.0334 + 0.0520i   0.3715 - 0.0968i   0.1780 - 0.1035i
  -0.1048 + 0.0368i  -0.1387 + 0.0421i  -0.2028 + 0.0634i  -0.0614 + 0.0503i   0.0332 + 0.0533i   0.3690 - 0.0975i   0.1754 - 0.1046i
  -0.1036 + 0.0366i  -0.1367 + 0.0420i  -0.2007 + 0.0640i  -0.0604 + 0.0512i   0.0331 + 0.0546i   0.3664 - 0.0981i   0.1729 - 0.1057i
  -0.1023 + 0.0364i  -0.1347 + 0.0419i  -0.1986 + 0.0646i  -0.0594 + 0.0522i   0.0329 + 0.0560i   0.3638 - 0.0987i   0.1703 - 0.1068i
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  -2.6328 - 0.4737i  -1.6269 - 2.1706i   0.2695 - 2.7052i   2.1087 - 1.7211i   2.7800 + 0.1712i   1.8838 + 2.1360i  -0.2036 + 2.7780i
  -2.6540 - 0.4622i  -1.6492 - 2.1762i   0.2580 - 2.7251i   2.1144 - 1.7442i   2.7991 + 0.1574i   1.9074 + 2.1405i  -0.1901 + 2.7974i
  -2.6752 - 0.4504i  -1.6717 - 2.1816i   0.2463 - 2.7450i   2.1200 - 1.7675i   2.8183 + 0.1435i   1.9311 + 2.1448i  -0.1764 + 2.8168i
  -2.6964 - 0.4385i  -1.6943 - 2.1869i   0.2344 - 2.7650i   2.1255 - 1.7909i   2.8375 + 0.1293i   1.9550 + 2.1490i  -0.1626 + 2.8362i
  -2.7176 - 0.4263i  -1.7170 - 2.1920i   0.2223 - 2.7849i   2.1308 - 1.8144i   2.8566 + 0.1150i   1.9790 + 2.1531i  -0.1485 + 2.8555i
  -2.7389 - 0.4139i  -1.7399 - 2.1971i   0.2100 - 2.8049i   2.1360 - 1.8381i   2.8758 + 0.1004i   2.0031 + 2.1570i  -0.1342 + 2.8749i
  -2.7601 - 0.4013i  -1.7630 - 2.2020i   0.1975 - 2.8249i   2.1411 - 1.8620i   2.8950 + 0.0857i   2.0274 + 2.1607i  -0.1198 + 2.8943i
  -2.7814 - 0.3885i  -1.7862 - 2.2068i   0.1848 - 2.8449i   2.1461 - 1.8860i   2.9141 + 0.0708i   2.0518 + 2.1644i  -0.1051 + 2.9137i
  -2.8028 - 0.3755i  -1.8095 - 2.2114i   0.1720 - 2.8650i   2.1509 - 1.9102i   2.9333 + 0.0556i   2.0764 + 2.1678i  -0.0903 + 2.9330i
  -2.8241 - 0.3623i  -1.8330 - 2.2159i   0.1589 - 2.8850i   2.1556 - 1.9345i   2.9525 + 0.0403i   2.1011 + 2.1711i  -0.0752 + 2.9524i
  -2.8454 - 0.3489i  -1.8567 - 2.2203i   0.1457 - 2.9051i   2.1602 - 1.9590i   2.9716 + 0.0248i   2.1260 + 2.1743i  -0.0600 + 2.9718i
  -2.8668 - 0.3352i  -1.8804 - 2.2246i   0.1322 - 2.9252i   2.1646 - 1.9836i   2.9908 + 0.0090i   2.1510 + 2.1773i  -0.0445 + 2.9911i
  -2.8881 - 0.3214i  -1.9043 - 2.2287i   0.1186 - 2.9452i   2.1689 - 2.0084i   3.0099 - 0.0069i   2.1761 + 2.1801i  -0.0289 + 3.0104i
  -2.9095 - 0.3073i  -1.9284 - 2.2327i   0.1048 - 2.9653i   2.1730 - 2.0333i   3.0290 - 0.0230i   2.2013 + 2.1828i  -0.0131 + 3.0298i
  -2.9309 - 0.2930i  -1.9526 - 2.2365i   0.0907 - 2.9854i   2.1770 - 2.0584i   3.0482 - 0.0394i   2.2267 + 2.1853i   0.0030 + 3.0491i
  -2.9523 - 0.2785i  -1.9769 - 2.2402i   0.0765 - 3.0055i   2.1809 - 2.0837i   3.0673 - 0.0559i   2.2523 + 2.1877i   0.0192 + 3.0684i
  -2.9737 - 0.2638i  -2.0014 - 2.2437i   0.0621 - 3.0256i   2.1846 - 2.1091i   3.0863 - 0.0726i   2.2779 + 2.1898i   0.0357 + 3.0876i
  -2.9951 - 0.2489i  -2.0260 - 2.2471i   0.0474 - 3.0458i   2.1881 - 2.1346i   3.1054 - 0.0896i   2.3037 + 2.1919i   0.0523 + 3.1069i
  -3.0165 - 0.2337i  -2.0508 - 2.2504i   0.0326 - 3.0659i   2.1915 - 2.1603i   3.1245 - 0.1067i   2.3297 + 2.1937i   0.0692 + 3.1261i
  -3.0379 - 0.2183i  -2.0757 - 2.2535i   0.0175 - 3.0860i   2.1948 - 2.1861i   3.1435 - 0.1241i   2.3557 + 2.1954i   0.0862 + 3.1453i
  -3.0593 - 0.2027i  -2.1007 - 2.2565i   0.0023 - 3.1061i   2.1979 - 2.2121i   3.1625 - 0.1416i   2.3819 + 2.1970i   0.1035 + 3.1645i
  -3.0807 - 0.1869i  -2.1259 - 2.2593i  -0.0131 - 3.1262i   2.2008 - 2.2382i   3.1815 - 0.1594i   2.4082 + 2.1983i   0.1210 + 3.1837i
  -3.1021 - 0.1709i  -2.1512 - 2.2619i  -0.0288 - 3.1463i   2.2036 - 2.2645i   3.2004 - 0.1774i   2.4347 + 2.1995i   0.1386 + 3.2028i
  -3.1235 - 0.1546i  -2.1766 - 2.2644i  -0.0447 - 3.1664i   2.2062 - 2.2909i   3.2194 - 0.1956i   2.4613 + 2.2005i   0.1565 + 3.2220i
  -3.1449 - 0.1381i  -2.2022 - 2.2668i  -0.0607 - 3.1865i   2.2087 - 2.3175i   3.2383 - 0.2140i   2.4880 + 2.2013i   0.1746 + 3.2410i
  -3.1662 - 0.1214i  -2.2279 - 2.2690i  -0.0770 - 3.2066i   2.2110 - 2.3442i   3.2572 - 0.2326i   2.5148 + 2.2020i   0.1929 + 3.2601i
  -3.1876 - 0.1045i  -2.2538 - 2.2710i  -0.0935 - 3.2266i   2.2131 - 2.3710i   3.2760 - 0.2514i   2.5418 + 2.2024i   0.2114 + 3.2791i
  -3.2089 - 0.0873i  -2.2798 - 2.2729i  -0.1102 - 3.2467i   2.2150 - 2.3980i   3.2948 - 0.2704i   2.5689 + 2.2027i   0.2301 + 3.2981i
  -3.2302 - 0.0699i  -2.3059 - 2.2746i  -0.1271 - 3.2668i   2.2168 - 2.4251i   3.3136 - 0.2896i   2.5961 + 2.2028i   0.2490 + 3.3170i
  -3.2515 - 0.0523i  -2.3322 - 2.2761i  -0.1442 - 3.2868i   2.2185 - 2.4524i   3.3323 - 0.3091i   2.6234 + 2.2028i   0.2682 + 3.3360i
  -3.2728 - 0.0345i  -2.3585 - 2.2775i  -0.1615 - 3.3068i   2.2199 - 2.4798i   3.3510 - 0.3287i   2.6509 + 2.2025i   0.2875 + 3.3548i
  -3.2941 - 0.0164i  -2.3850 - 2.2787i  -0.1790 - 3.3268i   2.2212 - 2.5074i   3.3697 - 0.3486i   2.6785 + 2.2021i   0.3071 + 3.3737i
  -3.3153 + 0.0019i  -2.4117 - 2.2797i  -0.1968 - 3.3468i   2.2223 - 2.5351i   3.3883 - 0.3687i   2.7062 + 2.2014i   0.3268 + 3.3924i
  -3.3366 + 0.0204i  -2.4385 - 2.2806i  -0.2147 - 3.3667i   2.2232 - 2.5629i   3.4069 - 0.3890i   2.7340 + 2.2006i   0.3468 + 3.4112i
  -3.3578 + 0.0392i  -2.4654 - 2.2813i  -0.2329 - 3.3866i   2.2240 - 2.5909i   3.4254 - 0.4095i   2.7620 + 2.1996i   0.3670 + 3.4299i
  -3.3789 + 0.0582i  -2.4924 - 2.2818i  -0.2513 - 3.4066i   2.2246 - 2.6190i   3.4439 - 0.4302i   2.7900 + 2.1984i   0.3874 + 3.4485i
  -3.4000 + 0.0774i  -2.5196 - 2.2822i  -0.2699 - 3.4264i   2.2249 - 2.6472i   3.4623 - 0.4512i   2.8182 + 2.1970i   0.4080 + 3.4671i
  -3.4211 + 0.0968i  -2.5468 - 2.2824i  -0.2887 - 3.4463i   2.2251 - 2.6756i   3.4807 - 0.4723i   2.8465 + 2.1954i   0.4289 + 3.4857i
  -3.4422 + 0.1165i  -2.5743 - 2.2824i  -0.3077 - 3.4661i   2.2252 - 2.7041i   3.4990 - 0.4937i   2.8749 + 2.1936i   0.4499 + 3.5042i
  -3.4632 + 0.1364i  -2.6018 - 2.2822i  -0.3270 - 3.4859i   2.2250 - 2.7328i   3.5173 - 0.5153i   2.9034 + 2.1916i   0.4712 + 3.5226i
  -3.4842 + 0.1566i  -2.6294 - 2.2818i  -0.3464 - 3.5056i   2.2246 - 2.7615i   3.5355 - 0.5371i   2.9321 + 2.1894i   0.4927 + 3.5410i
  -3.5052 + 0.1770i  -2.6572 - 2.2813i  -0.3661 - 3.5254i   2.2241 - 2.7904i   3.5536 - 0.5591i   2.9608 + 2.1870i   0.5143 + 3.5593i
  -3.5261 + 0.1976i  -2.6851 - 2.2806i  -0.3860 - 3.5450i   2.2233 - 2.8195i   3.5717 - 0.5813i   2.9896 + 2.1844i   0.5363 + 3.5776i
  -3.5469 + 0.2184i  -2.7132 - 2.2797i  -0.4061 - 3.5647i   2.2224 - 2.8487i   3.5898 - 0.6037i   3.0186 + 2.1816i   0.5584 + 3.5958i
  -3.5678 + 0.2395i  -2.7413 - 2.2786i  -0.4265 - 3.5843i   2.2213 - 2.8779i   3.6078 - 0.6264i   3.0477 + 2.1785i   0.5807 + 3.6140i
  -3.5885 + 0.2609i  -2.7696 - 2.2773i  -0.4470 - 3.6038i   2.2199 - 2.9074i   3.6257 - 0.6493i   3.0769 + 2.1753i   0.6033 + 3.6320i
  -3.6093 + 0.2824i  -2.7980 - 2.2758i  -0.4678 - 3.6233i   2.2184 - 2.9369i   3.6435 - 0.6724i   3.1061 + 2.1719i   0.6261 + 3.6500i
  -3.6299 + 0.3042i  -2.8265 - 2.2741i  -0.4888 - 3.6428i   2.2167 - 2.9666i   3.6613 - 0.6957i   3.1355 + 2.1682i   0.6491 + 3.6680i
  -3.6505 + 0.3263i  -2.8551 - 2.2723i  -0.5101 - 3.6622i   2.2147 - 2.9964i   3.6790 - 0.7193i   3.1650 + 2.1644i   0.6723 + 3.6859i
  -3.6711 + 0.3485i  -2.8838 - 2.2702i  -0.5315 - 3.6816i   2.2126 - 3.0263i   3.6966 - 0.7430i   3.1946 + 2.1603i   0.6957 + 3.7037i
  -3.6916 + 0.3710i  -2.9127 - 2.2680i  -0.5532 - 3.7009i   2.2103 - 3.0564i   3.7142 - 0.7670i   3.2243 + 2.1560i   0.7193 + 3.7214i
  -3.7121 + 0.3938i  -2.9416 - 2.2655i  -0.5751 - 3.7202i   2.2077 - 3.0865i   3.7316 - 0.7912i   3.2541 + 2.1515i   0.7432 + 3.7390i
  -3.7324 + 0.4168i  -2.9707 - 2.2629i  -0.5972 - 3.7394i   2.2049 - 3.1168i   3.7490 - 0.8156i   3.2840 + 2.1468i   0.7673 + 3.7566i
  -3.7527 + 0.4400i  -2.9999 - 2.2600i  -0.6196 - 3.7586i   2.2020 - 3.1472i   3.7664 - 0.8402i   3.3140 + 2.1419i   0.7916 + 3.7741i
  -3.7730 + 0.4635i  -3.0292 - 2.2570i  -0.6421 - 3.7777i   2.1988 - 3.1777i   3.7836 - 0.8651i   3.3441 + 2.1367i   0.8161 + 3.7915i
  -3.7932 + 0.4872i  -3.0586 - 2.2537i  -0.6649 - 3.7967i   2.1954 - 3.2084i   3.8007 - 0.8902i   3.3743 + 2.1313i   0.8409 + 3.8088i
  -3.8133 + 0.5111i  -3.0881 - 2.2502i  -0.6879 - 3.8157i   2.1918 - 3.2391i   3.8178 - 0.9155i   3.4045 + 2.1257i   0.8658 + 3.8260i
  -3.8333 + 0.5353i  -3.1177 - 2.2466i  -0.7112 - 3.8346i   2.1879 - 3.2700i   3.8348 - 0.9410i   3.4349 + 2.1199i   0.8910 + 3.8432i

w = 32769×1

0 0.0008 0.0015 0.0023 0.0030 0.0038 0.0046 0.0053 0.0061 0.0069

t = 1×7

1.1122 2.2345 3.3567 4.4790 5.6012 6.7234 7.8457

colormap(turbo)

figure
surf(t,w,abs(s), 'EdgeColor','none')
xlabel('Time (s)')
ylabel('Frequency (Hz)')
zlabel('|s|')
colormap(turbo)
view(30,30)

.

[carola forlini]

Thank you for your reply.

Which function you suggest in order to evaluate the area of a certain area from the spectrogram? Trapz?

[Star Strider]

My pleasure!

Yes, trapz.

Choose a value for either time or frequency, and integrate along that coordinate.